Question

The equation of the line whose X and Y intercepts are respectively twice and thrice of those by the line 2x+5y = 10, will be .

• A. 5x+3y = 30
• B. 3x+5y = 30
• C. 15x+4y = 60
• D. 4x+15y = 60

Answer 1

The correct option is B 3x+5y = 30

Given equation is 2x+5y = 10.
On dividing both the sides by 10, we get
$\frac{x}{5}+\frac{y}{2}=1$
$\therefore$ X-intercept = 5 and
Y-intercept = 2
For the new line:
X-intercept = 2 $\times$ 5 = 10
Y-intercept = 3 $\times$ 2 = 6
Equation of the required line is:
$\frac{x}{10}+\frac{y}{6}=1\Rightarrow 3x+5y=30$